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202221021202120 = 23517417253264749
BaseRepresentation
bin101101111110101101000000…
…001000101000011011001000
3222112000010210122212022020101
4231332231000020220123020
5203001142122411431440
61554031015445535144
760410662264121254
oct5576550010503310
9875003718768211
10202221021202120
11594854a9639648
121a81b956a144b4
1388ab48bc6b84b
1437d179a347264
15185a375c2a69a
hexb7eb402286c8

202221021202120 has 64 divisors (see below), whose sum is σ = 493512133590000. Its totient is φ = 74273431019520.

The previous prime is 202221021202061. The next prime is 202221021202121. The reversal of 202221021202120 is 21202120122202.

It can be written as a sum of positive squares in 8 ways, for example, as 9545467501476 + 192675553700644 = 3089574^2 + 13880762^2 .

It is not an unprimeable number, because it can be changed into a prime (202221021202121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3626604495 + ... + 3626660254.

Almost surely, 2202221021202120 is an apocalyptic number.

202221021202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221021202120 is an abundant number, since it is smaller than the sum of its proper divisors (291291112387880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202221021202120 is a wasteful number, since it uses less digits than its factorization.

202221021202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253264818 (or 7253264814 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 202221021202120 its reverse (21202120122202), we get a palindrome (223423141324322).

The spelling of 202221021202120 in words is "two hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5576 6970 13940 27880 7253264749 14506529498 29013058996 36266323745 58026117992 72532647490 123305500733 145065294980 246611001466 290130589960 297383854709 493222002932 594767709418 616527503665 986444005864 1189535418836 1233055007330 1486919273545 2379070837672 2466110014660 2973838547090 4932220029320 5055525530053 5947677094180 10111051060106 11895354188360 20222102120212 25277627650265 40444204240424 50555255300530 101110510601060 202221021202120